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3 years ago

Explain or show that the point (5,-4) is a solution to this system of equations

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

You could substitute the point (5,-4) into each equation

Step-by-step explanation:

x=5 y=-4

3x-2y=23

3(5)-2(-4)=23

15+8=23

23=23

2x+y=6

2(5)+(-4)=6

10-4=6

6=6

The points go into each equation which proves that the point (5,-4) is the solution.

(i don't know if I did this right, I apologize if I didn't

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Solve the inequality for u -5u+27 [less than or equal to] 2

baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

Solve:

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3 years ago

The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following

BabaBlast [244]

Answer:

Step-by-step explanation:

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3 years ago

Please please please help and solve this with steps, much help needed thank you :) 20 points for this!

leonid [27]

Answer:

$y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}$

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

$\frac{dy}{dx}y=x^3+2x-5x+3$

$\mathrm{First\:order\:separable\:Ordinary\:Differential\:Equation}$

$\mathrm{A\:first\:order\:separable\:ODE\:has\:the\:form\:of}\:N\left(y\right)\cdot y'=M\left(x\right)$

1. $\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:$

$y'\:y=x^3+2x-5x+3$

2. $\mathrm{Rewrite\:in\:the\:form\:of\:a\:first\:order\:separable\:ODE}$

$yy'\:=x^3-3x+3$

$N\left(y\right)\cdot y'\:=M\left(x\right)$

$N\left(y\right)=y,\:\quad M\left(x\right)=x^3-3x+3$

3. $\mathrm{Solve\:}\:yy'\:=x^3-3x+3:\quad \frac{y^2}{2}=\frac{x^4}{4}-\frac{3x^2}{2}+3x+c_1$

4. $\mathrm{Isolate}\:y:\quad y=\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}}$

5. $\mathrm{Simplify}$

$y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}$

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3 years ago

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Find the volume of a cone with a 3 cm diameter and a 5 cm height

Darya [45]

Step-by-step explanation:

Substitute r = 3 and h = 5 into the formula. Volume V=13⋅π⋅9⋅5=15πcm3=47.1cm3.

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3 years ago

Find the value of i77. A) 1 B) i C) −1 D) −i

Colt1911 [192]

assuming you mean $i^{77}$ where $i=\sqrt{-1}$

ok, notice a pattern in the exponent

$i^1=i=\sqrt{-1}$

$i^2=-1$

$i^3=-\sqrt{-1}=-i$

$i^4=1$

$i^5=i=\sqrt{-1}$

hum, so it goes 1,2,3,4, then repeats

ok, so every 4, the cycle repeats

how far up is 77 from a multipule of 4?

4*19=76

76 is 1 away from 77

so $i^{77}=(i^{76})(i^1)=$

$(i^4)^{19}(i)=(1)^{19}i=i$

the answer is B

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3 years ago

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